Search a number
-
+
440011110044 = 2211192321019851
BaseRepresentation
bin1100110011100101011…
…01001011011010011100
31120001202010112100121102
412121302231023122130
524202120321010134
6534045513052232
743534612503422
oct6316255133234
91501663470542
10440011110044
1115a6758895a0
127133a9b7078
1332653ab079c
1417422023112
15b6a437737e
hex6672b4b69c

440011110044 has 144 divisors (see below), whose sum is σ = 933596012160. Its totient is φ = 179427600000.

The previous prime is 440011110043. The next prime is 440011110103.

It is a happy number.

440011110044 is nontrivially palindromic in base 10.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 440011109998 and 440011110025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440011110043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44661719 + ... + 44671569.

It is an arithmetic number, because the mean of its divisors is an integer number (6483305640).

Almost surely, 2440011110044 is an apocalyptic number.

440011110044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

440011110044 is an abundant number, since it is smaller than the sum of its proper divisors (493584902116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

440011110044 is a wasteful number, since it uses less digits than its factorization.

440011110044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10032 (or 10007 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 440011 and 110044, that added together give a palindrome (550055).

The spelling of 440011110044 in words is "four hundred forty billion, eleven million, one hundred ten thousand, forty-four".

Divisors: 1 2 4 11 19 22 23 38 44 46 76 92 101 202 209 253 404 418 437 506 529 836 874 1012 1058 1111 1748 1919 2116 2222 2323 3838 4444 4646 4807 5819 7676 9292 9614 9851 10051 11638 19228 19702 20102 21109 23276 25553 39404 40204 42218 44137 51106 53429 84436 88274 102212 106858 108361 110561 176548 187169 213716 216722 221122 226573 374338 433444 442244 453146 485507 587719 748676 906292 971014 994951 1015151 1175438 1942028 1989902 2030302 2058859 2350876 2492303 3979804 4060604 4117718 4304887 4984606 5211179 8235436 8609774 9969212 10422358 10944461 11166661 17219548 18904069 20844716 21888922 22333322 22883873 37808138 43777844 44666644 45767746 47353757 57322969 75616276 91535492 94707514 99012401 114645938 189415028 198024802 207944759 229291876 251722603 396049604 415889518 434793587 503445206 526329079 831779036 869587174 1006890412 1052658158 1089136411 1739174348 2105316316 2178272822 4356545644 4782729457 5789619869 9565458914 10000252501 11579239738 19130917828 20000505002 23158479476 40001010004 110002777511 220005555022 440011110044